Event D: A student has brown eyes. Event B: The student is a girl.

These two events are most likely independent because the color of a student's eyes (Event A) does not affect or is not affected by the student's gender (Event B). In other words, knowing the outcome of Event A does not change the probability of Event B, and vice versa. This is the definition of independent events in probability.

On the other hand, the outcomes of the other pairs of events can influence each other. For example, a student who practices free throws regularly (Event A) is more likely to make the basketball team (Event B), so these events are not independent. Similarly, a student who does all her homework for Unit 5 (Event A) is more likely to pass the Unit 5 test (Event B), so these events are also not independent. Finally, whether a man likes iced tea (Event A) could potentially influence or be influenced by whether the man sings in a choir (Event B), so these events are not necessarily independent either.

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Event D: A student has brown eyes. Event B: The student is a girl.

These two events are most likely independent because the color of a student's eyes (Event A) does not affect or is not affected by the student's gender (Event B). In other words, knowing the outcome of Event A does not change the probability of Event B, and vice versa. This is the definition of independent events in probability.

On the other hand, the outcomes of the other pairs of events can influence each other. For example, a student who practices free throws regularly (Event A) is more likely to make the basketball team (Event B), so these events are not independent. Similarly, a student who does all her homework for Unit 5 (Event A) is more likely to pass the Unit 5 test (Event B), so these events are also not independent. Finally, whether a man likes iced tea (Event A) could potentially influence or be influenced by whether the man sings in a choir (Event B), so these events are not necessarily independent either.

Knowee AI · Accepted Answer

Event D: A student has brown eyes. Event B: The student is a girl.

These two events are most likely independent because the color of a student's eyes (Event A) does not affect or is not affected by the student's gender (Event B). In other words, knowing the outcome of Event A does not change the probability of Event B, and vice versa. This is the definition of independent events in probability.

On the other hand, the outcomes of the other pairs of events can influence each other. For example, a student who practices free throws regularly (Event A) is more likely to make the basketball team (Event B), so these events are not independent. Similarly, a student who does all her homework for Unit 5 (Event A) is more likely to pass the Unit 5 test (Event B), so these events are also not independent. Finally, whether a man likes iced tea (Event A) could potentially influence or be influenced by whether the man sings in a choir (Event B), so these events are not necessarily independent either.

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